Ionic transport in glass transition region can be determined by equation (1):
(1)
The electrical conductivity of an ionic liquid is inversely proportional to the shear viscosity of the liquid as described by equation (2)
(2)
Swenson and Bojesson studied the correlation between volume expansion of the network and the ionic conductivity of the glass. The correlation is best fitted by equation (3).
(3)
Vd is volume of the doped glass, Vm is volume of the undoped glass. Thus, Vd-Vm is excess volume introduce by the dopant salt.
The ionic transport in inorganic glasses have been often described with the classical defect transport theory for ionic crystals. As an example, the number of mobile interstitial ions for Frenkel defect is expressed by equation (4).
(4)
N is the number of stable or normal sites, N' is the number of interstitial sites, Gf is the Gibbs free energy of Frenkel defect formation,
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